5.3 Graphing Radical Functions

What kind of function is represented by the graph?

• Cubic Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

• y = 2 √(x) - 4
• y = - √(x - 4)
• y = 2 √(x)
• y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = - √(x + 1)
• y = √(x + 1)
• y = - √(x) - 1
• y = - √(x) + 1

Tags

CCSS.HSF-IF.C.7B

Name the parent function.

• cube root
• quadratic
• cubic
• square root

Tags

CCSS.HSF-IF.C.7B

What is the range of this graph?

• y ≥ -1
• y ≤ -1
• y ≥ 0
• y ≤ 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

What is the domain of this graph?

• x ≥ -1
• x ≤ -1
• x ≥ 0
• x ≤ 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the function in this graph?

• y ≤ 3
• y ≥ 3
• y ≤ 0
• y ≥ 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the facts is not true about the graph shown?

• The range is all real numbers.

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

• reflection over the x-axis,vertical shrink by a factor of -5

• reflection over the x-axis,vertical shrink by a factor of 1/5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5